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122100000100 = 225213363125867
BaseRepresentation
bin111000110110110111…
…0100010010101100100
3102200011100200200001221
41301231232202111210
54000030100000400
6132031510430124
711551515606451
oct1615556422544
9380140620057
10122100000100
11478672a32a1
121b7b7062344
13b68b2a5290
145ca41d2828
15329951cc1a
hex1c6dba2564

122100000100 has 72 divisors (see below), whose sum is σ = 285427925888. Its totient is φ = 45068918400.

The previous prime is 122100000097. The next prime is 122100000119. The reversal of 122100000100 is 1000001221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4707367 + ... + 4733233.

Almost surely, 2122100000100 is an apocalyptic number.

122100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100000100 is an abundant number, since it is smaller than the sum of its proper divisors (163327925788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122100000100 is a wasteful number, since it uses less digits than its factorization.

122100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29525 (or 29518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 122100000100 its reverse (1000001221), we get a palindrome (123100001321).

The spelling of 122100000100 in words is "one hundred twenty-two billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 3631 7262 14524 18155 25867 36310 47203 51734 72620 90775 94406 103468 129335 181550 188812 236015 258670 336271 363100 472030 517340 646675 672542 944060 1180075 1293350 1345084 1681355 2360150 2586700 3362710 4720300 6725420 8406775 16813550 33627100 93923077 187846154 375692308 469615385 939230770 1221000001 1878461540 2348076925 2442000002 4696153850 4884000004 6105000005 9392307700 12210000010 24420000020 30525000025 61050000050 122100000100